9,740,640

2⁵ × 3 × 5 × 7 × 13 × 223

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 13 × 223

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 37,933,056

Proper Divisor Sum 28,192,416

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9740639 ← → #9740651

Radix Representation

Decimal	9740640
Binary	100101001010000101100000 (24 bits)
Octal	0o45120540
Hexadecimal	0x94A160

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 65 70 78 80 84 91 96 104 105 112 120 130 140 156 160 168 182 195 208 210 223 224 240 260 273 280 312 336 364 390 416

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,740,640 4,870,320 2,435,160 1,217,580 608,790 304,395 913,186 456,593 1,369,780 684,890 342,445 1,027,336 513,668 256,834 128,417 385,252 192,626 96,313 288,940 144,470 72,235 216,706 108,353 325,060 162,530 81,265 243,796 121,898 60,949 182,848 91,424 45,712 22,856 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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